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Simplifying -32 + 2b = 8(7 + 3b) -32 + 2b = (7 * 8 + 3b * 8) -32 + 2b = (56 + 24b) Solving -32 + 2b = 56 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. -32 + 2b + -24b = 56 + 24b + -24b Combine like terms: 2b + -24b = -22b -32 + -22b = 56 + 24b + -24b Combine like terms: 24b + -24b = 0 -32 + -22b = 56 + 0 -32 + -22b = 56 Add '32' to each side of the equation. -32 + 32 + -22b = 56 + 32 Combine like terms: -32 + 32 = 0 0 + -22b = 56 + 32 -22b = 56 + 32 Combine like terms: 56 + 32 = 88 -22b = 88 Divide each side by '-22'. b = -4 Simplifying b = -4
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